Examveda

ABC is an isosceles triangle where AB = AC which is circumscribed about a circle. If P is the point where the circle touches the side BC, then which of the following is true?

A. BP = PC

B. BP > PC

C. BP < PC

D. BP = $$\frac{1}{2}$$PC

Answer: Option A

Solution (By Examveda Team)

Geometry mcq question image
Here given that = AB = AC
AQ + BQ = AR + RC
We know that
BQ = PB & PC = RC
AQ + PB = AR + PC
Also AQ = AR
AR + PB = AR + PC
PB = PC

This Question Belongs to Arithmetic Ability >> Geometry

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